AFCAT Model Paper 2

Given: Ratio of two numbers = 7 ∶ 4 Concept used: Converting percentage into ratio $50\% = \frac{1}{2}, 20\% = \frac{1}{5}, 25\% = \frac{1}{4}, 60\% = \frac{3}{5}$ Calculations: Let, First number be 70x and The second number be 40x First number after increase $= 70x + \left( \frac{1}{2} \right) \times 70x$ ⇒ 105x First number after decrease $= 105x - \left( \frac{1}{5} \right) \times 105x$ ⇒ 84x Second number after first increase $= 40x + \left( \frac{1}{4} \right) \times 40x$ ⇒ 50x Second number after second increase $= 50x + \left( \frac{3}{5} \right) \times 50x$ ⇒ 80x First to second number ratio after the change $= \frac{84x}{80x}$ ∴ New ratio of the two numbers is 21 ∶ 20